Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
2310u |
Isogeny class |
Conductor |
2310 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
880165440 = 26 · 36 · 5 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ -4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-321,-1719] |
[a1,a2,a3,a4,a6] |
j |
3658671062929/880165440 |
j-invariant |
L |
3.4428238044901 |
L(r)(E,1)/r! |
Ω |
1.14760793483 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
18480bp1 73920bv1 6930q1 11550d1 |
Quadratic twists by: -4 8 -3 5 |